Pith. sign in

REVIEW 2 cited by

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1105.0115 v3 pith:5TZE7I22 submitted 2011-04-30 math.RT

Casimir eigenvalues for universal Lie algebra

R. L. Mkrtchyan , A. N. Sergeev , A. P. Veselov This is my paper
classification math.RT
keywords eigenvaluescasimiruniversaladjointalgebraalgebrasalphabeta
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

For two different natural definitions of Casimir operators for simple Lie algebras we show that their eigenvalues in the adjoint representation can be expressed polynomially in the universal Vogel's parameters $\alpha, \beta, \gamma$ and give explicit formulae for the generating functions of these eigenvalues.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Diagrammatic technique for Vogel's universality

    math.QA 2026-05 unverdicted novelty 5.0

    Vogel's diagrammatic Lambda-algebra enables truly universal computations of Lie-theoretic quantities, demonstrated via multiple examples.

  2. A note on universality in refined Chern-Simons theory

    hep-th 2026-05 unverdicted novelty 2.0

    Refined Chern-Simons theory universality is restricted to simply laced Lie groups, unlike the original which applies to all simple Lie groups.